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Finding the Third Proportional to 149,437,892 and 324,383,584

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Solution

The third proportional to 149,437,892 and 324,383,584 is: 704,136,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,437,892 : 324,383,584 = 324,383,584 : x
  2. Step 2: Convert to fraction form
    149,437,892/324,383,584 = 324,383,584/x
  3. Step 3: Cross multiply
    149,437,892x = 324,383,584 × 324,383,584
  4. Step 4: Simplify right side
    149,437,892x = 105,224,709,568,685,056
  5. Step 5: Solve for x
    x = 105,224,709,568,685,056/149,437,892
  6. Step 6: Final answer
    x = 704,136,736.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.